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Finding the Fourth Proportional to 1,267.45, 1,901.48 and 434.50

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Solution

The fourth proportional to 1,267.45, 1,901.48 and 434.50 is: 651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.45 : 1,901.48 = 434.50 : x
  2. Step 2: Convert to fraction form
    1,267.45/1,901.48 = 434.50/x
  3. Step 3: Cross multiply
    1,267.45x = 1,901.48 × 434.50
  4. Step 4: Simplify right side
    1,267.45x = 826,193.06
  5. Step 5: Solve for x
    x = 826,193.06/1,267.45
  6. Step 6: Final answer
    x = 651.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.